Stearnsmic clan: Difference between revisions
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* ''[[Octoid]]'', {4375/4374, 16875/16807} → [[Ragismic microtemperaments #Octoid|Ragismic microtemperaments]] | * ''[[Octoid]]'', {4375/4374, 16875/16807} → [[Ragismic microtemperaments #Octoid|Ragismic microtemperaments]] | ||
* ''[[Septisuperfourth]]'', {6144/6125, 118098/117649} → [[Escapade family #Septisuperfourth|Escapade family]] | * ''[[Septisuperfourth]]'', {6144/6125, 118098/117649} → [[Escapade family #Septisuperfourth|Escapade family]] | ||
Considered below are supers, stearnscape, garistearn and decistearn. | Considered below are pogo, supers, stearnscape, garistearn and decistearn. | ||
== No-five stearnsmic == | == No-five stearnsmic == | ||
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{{Val list|legend=1| 14, 22, 36, 94, 130, 224, 354, 484, 838 }} | {{Val list|legend=1| 14, 22, 36, 94, 130, 224, 354, 484, 838 }} | ||
== Pogo == | |||
{{See also| Schismatic family #Pogo }} | |||
The pogo temperament (94&130) tempers out the [[schisma]], whose amount of tempering of the fifth is just about right for the stearnsma. | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 32805/32768, 118098/117649 | |||
[[Mapping]]: [{{val| 2 1 22 2 }}, {{val| 0 3 -24 5 }}] | |||
Mapping generators: ~343/243, ~9/7 | |||
{{Multival|legend=1| 6 -48 10 -90 -1 158 }} | |||
[[POTE generator]]: ~9/7 = 433.901 | |||
{{Val list|legend=1| 36, 94, 130, 224, 354 }} | |||
[[Badness]]: 0.079635 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 540/539, 4000/3993, 32805/32768 | |||
Mapping: [{{val| 2 1 22 2 25 }}, {{val| 0 3 -24 5 -25 }}] | |||
Mapping generators: ~99/70, ~9/7 | |||
POTE generator: ~9/7 = 433.911 | |||
Vals: {{Val list| 36, 94, 130, 224, 354, 578 }} | |||
Badness: 0.031857 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 540/539, 729/728, 1575/1573, 4096/4095 | |||
Mapping: [{{val| 2 1 22 2 25 -2 }}, {{val| 0 3 -24 5 -25 13 }}] | |||
Mapping generators: ~99/70, ~9/7 | |||
POTE generator: ~9/7 = 433.911 | |||
Vals: {{Val list| 36, 94, 130, 224, 354, 578 }} | |||
Badness: 0.017514 | |||
== Supers == | == Supers == |